Publications and CV

My CV in pdf is here

Most of my recent papers are posted on ArXiv. Here’s a listing with active links. The papers that you will find there are listed below.

  • Natural extensions of unimodal maps: prime ends of planar embeddings and semi-conjugacy to sphere homeomorphisms, joint with Andre’ de Carvalho and Toby Hall, Geometry and Topology, 25.(1) (2021), 111–228
  • Statistical Stability for Barge-Martin attractors derived from tent maps, joint with Andre’ de Carvalho and Toby Hall, Discrete and Continuous Dynamical Systems A, 40 (5) (2020), 2903-2915
  • Typical path components in tent map inverse limits, joint with Andre’ de Carvalho and Toby Hall, Fundamenta Mathematicae, 250 (2020), 301-318.
  • Itineraries for Inverse Limits of Tent Maps: a Backward View, joint with Andre’ de Carvalho and Toby Hall, Topology Appl. 232 (2017), 1–12.
  • Geometric representation of the infimax S-adic family, joint with William Severa, Fund. Math., 240 (2018), 15-50
  • New Rotation Sets in a Family of Torus Homeomorphisms, joint with Andre’ de Carvalho and Toby Hall, Invent. Math., 204 (2016), no. 3, 895–937.
  • On digit frequencies in ß-expansions, joint with Andre’ de Carvalho and Toby Hall, Transactions of the AMS, Volume 368, Number 12, December 2016, Pages 8633–8674.
  • Symbol ratio minimax sequences in the lexicographic order, joint with Andre’ de Carvalho and Toby Hall, Ergodic Theory and Dynamical Systems, (2015), 35, 2371-2396,  doi:10.1017/etds.2014.
  • Exponential growth in two-dimensional topological fluid dynamics, Procedia IUTAM, Volume 7, Pages 107-116, (2013),  IUTAM Symposium on Topological Fluid Dynamics: Theory and Applications. Cambridge, UK
  • Inverse limits as attractors in parameterized families, joint with Andre’ de Carvalho and Toby Hall, Bull. Lond. Math. Soc. 45 (2013), no. 5, 1075–1085.
  • The entropy efficiency of point-push mapping classes on the punctured disk, joint with Jason Harrington, Algebr. Geom. Topol. 11 (2011), no. 4, 2265–2296.
  • On eigen-structures for pseudoAnosov maps.
  • Transitivity of Surface Dynamics Lifted to Abelian Covers, Ergodic Theory and Dynamical Systems, 29, no. 5, (2009), 1417-1449.
  • The Burau estimate for the entropy of a braid by Gavin Band and Philip Boyland, Algebraic & Geometric Topology, vol. 7, (2007), 1345-1378.
  • Semiconjugacies to angle-doubling, Proc. AMS, 134, (2006), no. 5, 1299–1307.
  • Relative Periodic Solutions of the Complex Ginzburg-Landau Equation, by Vanessa López, Philip Boyland, Michael T. Heath, Robert D. Moser, SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 4, (2005), pp. 1042-1075.
  • Dynamics of two-dimensional time-periodic Euler fluid flows, Topology and its Applications, 152, (2005), no. 1-2, 87–106.
  • Toplogical fluid mechanics of point vortex motions, with Mark Stremler and Hassan Aref, Physica D, 175, 69-95, 2003.
  • Isotopy Stability of Dynamics on Surfaces, Contemp. Math., 246, 17-46, 1999.
  • Dynamical stability in Lagrangian systems, with Christopher Golé, Hamiltonian Systems with Three or More Degrees of Freedom, C. Simó, editor, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ., Dordrecht, Holland, 90–114, 1999.
  • Lagrangian systems on hyperbolic manifold, with Christopher Golé, Ergod. Th. & Dynam. Sys., 19, 1157–1173. 1999.
  • Dual billiards, twist maps, and impact oscillators, Nonlinearity, 9, 1411–1438, 1996.
  • Weak disks of Denjoy minimal sets, Ergod. Th. & Dynam. Sys., 13, 597–614, 1993

The following papers are available directly from here